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Finding the Fourth Proportional to 109.14, 162.33 and 99.40

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Solution

The fourth proportional to 109.14, 162.33 and 99.40 is: 147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.14 : 162.33 = 99.40 : x
  2. Step 2: Convert to fraction form
    109.14/162.33 = 99.40/x
  3. Step 3: Cross multiply
    109.14x = 162.33 × 99.40
  4. Step 4: Simplify right side
    109.14x = 16,135.57
  5. Step 5: Solve for x
    x = 16,135.57/109.14
  6. Step 6: Final answer
    x = 147.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.